where \(S_j = \frac{8\pi ^2M_{\rm Pl}^2}{H_j^2}\)  is the dS entropy. This assumption is satisfied by CDL, Hawking-Moss and Brown-Teittleboim tunneling, and has been oft-invoked
in earlier works on the measure problem. Notably it is violated by the Farvi-Guth-Guven process [1]}, though the interpretation of its
singular instanton remains an open question [2]}, [3]}, [4]}, [5]}, [6]}. It is also violated by the mechanism of nucleating localized,
high-energy regions proposed recently [7]}.
